On holomorphic representations of discrete Heisenberg groups

DOI10.1007/s10688-010-0020-3zbMath1232.43005OpenAlexW1987789797MaRDI QIDQ2430780

A. N. Parshin

Publication date: 8 April 2011

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-010-0020-3

zbMATH Keywords

characterrepresentationtracediscrete Heisenberg group

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items

Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields, On irreducible representations of discrete Heisenberg groups, The Mellin transform and the Plancherel theorem for the discrete Heisenberg group, Aleksei Nikolaevich Parshin (on his 70th birthday), Notes on the Poisson formula

Cites Work

• Infinite-dimensional Lie algebras, theta functions and modular forms
• \(L^ 1-\)harmonic analysis on semi-direct products of abelian groups
• On the equations defining Abelian varieties. I-III
• On non-Archimedean representations of Abelian varieties
• On Induced Representations of Groups